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3 years ago

A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?

1 answer:

4 0

A direct variation has a constant slope, i.e. (y/x)= constant.

Both of the given two points give a slope of (y/x)=14/2=28/4=7, so the equation of the function is
y/x=7, or simply
y=7x

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If the integers 12, -6, 8 , -5, 7, -9, -11 are marked on the number line, the

Y_Kistochka [10]

Answer:

The number that'll come on the exreme left will be the smallest negative integer among 12, -6, 8 , -5, 7, -9, -11 which will be - 11.

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3 years ago

The graph of 6x + 4y = -2 is shown on the grid. Which ordered pair is in the solution set of 6x + 4y = -2? es -) A) (2,3) B) (3,

otez555 [7]

Answer:

Step-by-step explanation:

Using slope-intercept form, the slope is 3/2.

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3 years ago

Suppose r varies directly with the square of m and inversely as s. If r= 12 when m = 6 and s=4, find r when m = 4 and s 10

zalisa [80]

Answer:

$r=\frac{32}{15}$

Step-by-step explanation:

If r varies directly with the square of m and inversely as s,

then $r=\frac{km^2}{s}$ where k is some constant

Given r = 12 when m = 6 and s = 4:

$r=\frac{km^2}{s}$

⇒ $12=\frac{k6^2}{4}$

⇒ $\frac{12\times4}{6^2} =k$

⇒ k = $\frac{4}{3}$

Therefore, substituting the found value of k into the original equation: $r=\frac{4m^2}{3s}$

Find r when m = 4 and s = 10:

$r=\frac{4m^2}{3s}$

⇒ $r=\frac{4\times4^2}{3\times10}$

⇒ $r=\frac{32}{15}$

6 0

3 years ago

How do I factorise 28x-4

IgorLugansk [536]

Step 1. Check if both terms of your expression have a common factor.
Notice that both 28x and 4 are divisible by 4, so the common factor of your expression is 4.

Step 2. Take out the common factor by dividing each one of the terms by the common factor and grouping the results inside a parenthesis:
$\frac{28x}{4}=7x$ and $\frac{4}{4} =1$
$28x-4=4(7x-1)$

We can conclude that the factored form of $28x-4$ is $4(7x-1)$ .

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3 years ago

Which represents all the values of x that make the rational expression 2x-4 over x-5 undefined?

mixas84 [53]

For this case we have the following expression:

$\frac {2x-4} {x-5}$